So um... I forgot the lecture in class... please help... -_-
Oh btw much points!
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Note......if we set the "y's" equal, then we have
4x - 2 = 5
Then.......the resulting x value for the solution of this equation is the x coordinate for the intersection point.......so.........add 2 to each side
4x = 7 divide both sides by 4
x = 7/4 so........ (3, 6) cannot possibly be the intersection point
And as xvxvxv pointed out, the intersection point is actually (7/4, 5) or ( 1.75, 5)
4x - 2 = 5
Then.......the resulting x value for the solution of this equation is the x coordinate for the intersection point.......so.........add 2 to each side
4x = 7 divide both sides by 4
x = 7/4 so........ (3, 6) cannot possibly be the intersection point
And as xvxvxv pointed out, the intersection point is actually (7/4, 5) or ( 1.75, 5)
SmartCookieToRescue:
Ok. A bit confusing of an answer but it gives the answer! Thx!
Answered by
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Answer:
(2,6)
Step-by-step explanation:
Given Equation are:
y = 4x - 2 ---- (i)
y = (1/2)x + 5 ---- (ii)
Given that it intersects at (3,6).
Substitute x = 3 and y = 6 in both the equations and check it.
(i)
y = 4(3) - 2.
6 = 12 - 2
6 ≠ 10.
(ii)
6 = (1/2) * 3 + 5
6 = (3/2) + 5
6 = 13/2
6 ≠ 6.5.
∴ She is not correct, because the point does not make both equations true.
Solution:
The solution will be the coordinate (x,y) such that y₁ = y₂ and x₁ = x₂.
⇒ 4x - 2 = (1/2)x + 5
⇒ 4x - (x/2) = 5 + 2
⇒ 7x/2 = 7
⇒ 7x = 14
⇒ x = 2.
Now,
Substitute x = 2 in (i), we get
⇒ y = 4x - 2
⇒ y = 4(2) - 2
⇒ y = 8 - 2
⇒ y = 6.
∴ Finally, that means out solution coordinates is (2,6).
Hope this helps!
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